I would question if there is no more bleeding and if hte baby is fine , that induction is delayed, especially if your partner is not ready to labour
the doctor should do what is termed a 'Bishops score' which assesses the readiness of the body to labour, it looks at how engaged the baby is, the lenght, thickness, softness, position and dilation of hte cervix.
if the body is not ready, induction could take days and still not be successful, in which case a c.section would be done
it is impossible to predict though how things will go, although certain factors can give a good indication. some women can look totally unready to labour, one pessary later ( to ripen the cervix) they are in full labour and hav a baby 4 hours later ! Some women require 2 - 3 pessaries, followed by breaking the waters, followed by a hormone drip to get labour going and don't progress past 4 cm.
i would be asking lots of questions and finding out the risks and benefits of induction, waiting for induction, waiting for spontaenous labour and a planned section
if no more bleeding and hte placenta is in the right place, perhaps more monitoring rather than an early induciton>
you can ask for a section, but it can have knock on effects for future pregnancies and labours and is not without risk and can mean extra days in hospital
a section performed before 39 weeks also comes with additional risks